In this lesson, we will learn how to use parabolas and their equations to model real-life situations.

Q1:

A shell was fired from a mortar along a trajectory described by the equation π¦ = 0 . 1 9 + 0 . 3 1 π₯ β 0 . 5 π₯ 2 , where π¦ is the height of the shell above the ground in kilometres when it has travelled a horizontal distance of π₯ kilometres. Find the horizontal distance covered by the shell before it hit the ground.

Q2:

The height of a missile above its launch point can be found using where π m is the height above the launch point, π’ m/s is the vertical launch speed, and π‘ s is the time after launch. A missile is launched vertically upwards with a speed of 49 m/s. At what times will it be 44.1 m above its launch point?

Q3:

After π‘ seconds, the height, π , of a diver above the surface of the pool is given by the equation π = β 4 . 9 π‘ β 0 . 7 π‘ + 9 2 . How long does it take for the diver to reach the water?

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